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Finding the Fourth Proportional to 6,071.02, 9,106.65 and 1,688.42

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Solution

The fourth proportional to 6,071.02, 9,106.65 and 1,688.42 is: 2,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.02 : 9,106.65 = 1,688.42 : x
  2. Step 2: Convert to fraction form
    6,071.02/9,106.65 = 1,688.42/x
  3. Step 3: Cross multiply
    6,071.02x = 9,106.65 × 1,688.42
  4. Step 4: Simplify right side
    6,071.02x = 15,375,849.99
  5. Step 5: Solve for x
    x = 15,375,849.99/6,071.02
  6. Step 6: Final answer
    x = 2,532.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.